511671732288 has 112 divisors (see below), whose sum is σ = 1420465877376. Its totient is φ = 162240122880.

The previous prime is 511671732197. The next prime is 511671732289. The reversal of 511671732288 is 882237176115.

It is a self number, because there is not a number n which added to its sum of digits gives 511671732288.

It is not an unprimeable number, because it can be changed into a prime (511671732289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479220 + ... + 1119372.

It is an arithmetic number, because the mean of its divisors is an integer number (12682731048).

Almost surely, 2^511671732288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511671732288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710232938688).

511671732288 is an abundant number, since it is smaller than the sum of its proper divisors (908794145088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

511671732288 is a wasteful number, since it uses less digits than its factorization.

511671732288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640372 (or 640362 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 51.

The spelling of 511671732288 in words is "five hundred eleven billion, six hundred seventy-one million, seven hundred thirty-two thousand, two hundred eighty-eight".